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arXiv · 0910.1392

Simple, efficient maxima-finding algorithms for multidimensional samples

Wei-Mei Chen·Hsien-Kuei Hwang·Tsung-Hsi Tsai
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Abstract

New algorithms are devised for finding the maxima of multidimensional point samples, one of the very first problems studied in computational geometry. The algorithms are very simple and easily coded and modified for practical needs. The expected complexity of some measures related to the performance of the algorithms is analyzed. We also compare the efficiency of the algorithms with a few major ones used in practice, and apply our algorithms to find the maximal layers and the longest common subsequences of multiple sequences.

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Wei-Mei Chen, Hsien-Kuei Hwang, Tsung-Hsi Tsai. 2009-10-08. Simple, efficient maxima-finding algorithms for multidimensional samples. https://arxiv.org/abs/0910.1392

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